What is the 5150th prime number?
The 5150th prime number is 50147. The next prime is 50153 (a gap of 6) and the one before is 50131.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 5150th one is 50147.
- 2
50147 is prime because no prime up to ā50147 ā 223.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5150th prime is close to 5150 Ć ln(5150) ā 44016, and here it is 50147.
- 4
50147 has no twin: neither 50145 nor 50149 is prime.
Primes around the 5150th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5147 | 50123 | 4 |
| 5148 | 50129 | 6 |
| 5149 | 50131 | 2 |
| 5150 | 50147 | 16 |
| 5151 | 50153 | 6 |
| 5152 | 50159 | 6 |
| 5153 | 50177 | 18 |
Questions
What is the 5150th prime number?
50147.
Which prime number is 50147?
50147 is the 5150th prime number.
What is the sum of the first 5150 primes?
121,864,723.